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Finding the Fourth Proportional to 1,485.12, 2,229.70 and 755.20

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Solution

The fourth proportional to 1,485.12, 2,229.70 and 755.20 is: 1,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.12 : 2,229.70 = 755.20 : x
  2. Step 2: Convert to fraction form
    1,485.12/2,229.70 = 755.20/x
  3. Step 3: Cross multiply
    1,485.12x = 2,229.70 × 755.20
  4. Step 4: Simplify right side
    1,485.12x = 1,683,869.44
  5. Step 5: Solve for x
    x = 1,683,869.44/1,485.12
  6. Step 6: Final answer
    x = 1,133.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.